Short Answer 6. Use Pascal's triangle to expand (3x-2)^6

Question

Answer 1

## Step 1: Identify the Coefficients Using Pascal's Triangle### For the expansion of

, use row

of Pascal's Triangle. Here,

. The coefficients are from row 6:

.## Step 2: Apply the Binomial Expansion Formula### Use the formula

. Substitute

,

, and

.## Step 3: Calculate Each Term### Compute each term using the coefficients and powers of

and

: - First term:

- Second term:

- Third term:

- Fourth term:

- Fifth term:

- Sixth term:

- Seventh term:

## Step 4: Combine All Terms### Sum all the terms to get the expanded form:

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